1. Dian-Yong Chen Institute of Modern Physics, CAS FHNP’15 Beijing Hadronic Loop Contributions to Heavy Quarkonium Decay 2015.1.11@Beijing

2. Outline Dian-Yong Chen @IMP,CAS2

3. heavy quarkonium (Quenched Vs Unquenched) Quenched Scenario (Naive quark model) Unquenched Scenario Quark pair created by vacuum Strong coupling Dian-Yong Chen @IMP,CAS3 B’ B A B C ≈ A C’ + ≈ A B’ C’ B C C

4. strong decays: J/ ψ→PV X. Liu, X.Q. Zeng, X.Q. Li PRD74,074006 (2006) J/ ψ, ψ’→ωπ 0 G.Li, Q.Zhao, B.S.Zou, PRD77,014010(2008) ψ(3770) →non-DDbar Y.J.Zhang,G.Li,Q.Zhao, PRL102,172001(2009) X.Liu,B.zhang,X.Q.Li, PLB675,441(2009) ψ’→ J/ ψ π 0 (η) F.K.Guo,G.Hanhart,U.-U.Meissner,PRL103,082003(2009) Radiative Decay J/ ψ, ψ’ →γη c, γη c ’ J/ ψ, ψ’ →γη c, γη c ’ G. Li, Q.Zhao,PLB670,55(2008) Weak Decay →Kh c B →Kh c P.Colangelo,F.De.Fazio,T.N.Pham,PRD69,054023(2004) B →Kχ c0 ) B →Kχ c0 P.Colangelo,F.De.Fazio,T.N.Pham,PLB542,71(2002) Applications of Hadronic loop: Could be more.... Dian-Yong Chen @IMP,CAS4

5. Process Chen, Liu, Matsuki, Phys. Rev. D90, 034019 (2014) Dian-Yong Chen @IMP,CAS5

6. PhysRevLett.113.142001(2014)@Belle Dian-Yong Chen @IMP,CAS6

7. Meson Loop contributions: Quark Level meson loop contributions are evaluated in hadron level interactions are described by effective Lagrangians effective Lagrangians are constructed based on heavy quark symmetry & chiral symmetry Quenched (OZI Suppressed)Unquenched (Meson Loop) Dian-Yong Chen @IMP,CAS7

8. Form factors: Internal structures of the involved particles Off shell effects Remove the divergence of the loop integrals Monopole form Conclusion: Meson loop can explain the experimental data Common alpha range Reflect the similarity of these processes Chen, Liu, Matsuki, PRD90,034019 Dian-Yong Chen @IMP,CAS8

9. Process Chen, Liu, Matsuki, Phys. Rev. D87, 054006 (2013) Dian-Yong Chen @IMP,CAS9

10. . Phys.Rev.D87(5): 051101(2013)@Belle Phys.Rev.D86: 071101@BESIII Consistent with Solution I of Belle Collaboration Dian-Yong Chen @IMP,CAS10

11. Meson Loop contributions Chen, Liu, Matsuki,PRD87,054006 Dian-Yong Chen @IMP,CAS11

12. Process Chen, Liu, Matsuki, Phys. Rev. D87, 094010 (2013) Dian-Yong Chen @IMP,CAS12

13. h b ( 1 P) region h b ( 2 P) region η b ( 1 S) signal η b ( 2 S) signal Phys.Rev.Lett.109,232002@Belle E1 transition in naive quark model Initial Final Expt. QM Godfrey and Rosner Phys.Rev.D.66,014012 Experimental data are not consistent with the predictions of naive quark model. Need other sources!! Dian-Yong Chen @IMP,CAS13

14. E1 tansition + meson loop contribution Triangle diagrams Contact diagrams Ensure the gauge invariance of the photon field Gaugue invariant amplitudes Dian-Yong Chen @IMP,CAS14

15. Radiative decay width Naive quark model + meson loop contributions can explain the experimental data Chen, Liu, Matsuki, PRD87,094010 Dian-Yong Chen @IMP,CAS15

16. Some other Hadronic Loop Effects Former trials Dian-Yong Chen @IMP,CAS16

17.  c1 →VV : experimental measurements@BESIII  cJ →K*K*: Phys.Rev.D70: 092003(2008)@BES  c1 4K mode 3π 2K mode Phys.Rev.Lett. 107, 092001@BES Summary Dian-Yong Chen @IMP,CAS17

18. Meson Loop S-wave coupling Input channel: determine the parameter range Chen, He, Li, Liu, PRD81,074006 Dian-Yong Chen @IMP,CAS18

19. Experiment@CLEO (Quenched) PQCD calculation Phys.Rev.Lett.101,151801@CLEO Y.J. Gao, Y.J. Zhang, K.T. Chao, Hep-ph/0607278 PQCD results are not consistent with the experimental measurement  c1 →γV Dian-Yong Chen @IMP,CAS19

20. Does hadronic loop effect still play an important role to  Does hadronic loop effect still play an important role to ?  c1 →γV ?  Apply the same mechanism to study  c1 →γV   Test hadronic loop effect applied to  c1 →VV ! Dian-Yong Chen @IMP,CAS20

21. There exists overlap between the numerical result obtained in this work and the experimental data announced by CLEO Chen, Dong, Liu, Eur.Phys.J.C.70.177 Dian-Yong Chen @IMP,CAS21

22. Summary Meson loop is an effective description for non-perturbative aspect of QCD; It seems to be essential to understand some peculiar properties in heavy quarkonia decay; The quantitative calculations are sensitive to cut-off and exhibit model-dependent features; Need more processes both for theorists and experimentists. Dian-Yong Chen @IMP,CAS22

23. Thanks for your attention!